Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By deleting some low values and high values, the trimmed mean is more resistant. To find the 10% trimmed mean for a data set, first arrange the data in order, then delete the bottom 10% of the values and delete the top 10% of thevalues, then calculate the mean of the remaining values. Use the axial loads (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify anyoutliers, then compare the median, mean, 10% trimmed mean, and 20% trimmed mean.
248
259
268
274
277
280
281
283
283
285
286
289
290
290
293
295
295
299
311
507
Identify any outliers. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The outlier(s) is/are
nothing
pounds.
(Type a whole number. Use a comma to separate answers as needed.)
B.
There are no outliers.
The median is
nothing
pounds.
(Type an integer or decimal rounded to one decimal place as needed.)
The untrimmed mean is
nothing
pounds.
(Type an integer or decimal rounded to one decimal place as needed.)
The 10% trimmed mean is
nothing
pounds.
(Type an integer or decimal rounded to one decimal place as needed.)
The 20% trimmed mean is
nothing
pounds.
(Type an integer or decimal rounded to one decimal place as needed.)
Compare the values. Choose the correct answer below.
A.
All of the values are close to each other.
B.
The untrimmed mean, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the median is significantly different from those values.
C.
The median, untrimmed mean, and 20% trimmed mean are close to each other. However, the 10% trimmed mean is significantly different from those values.
D.
The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values.
E.
The median, untrimmed mean, and 10% trimmed mean are close to each other. However, the 20% trimmed mean is significantly different fro
